One of those from Ray's family is after going for a song from Scrooge (10)
I believe the answer is:
cheapskate
'scrooge' is the definition.
(cheapskate is a kind of scrooge)
'one of those from ray's' is the wordplay.
'one of those' becomes 'cheap' (I am not sure about this - if you are sure you should believe this answer much more).
'from' says to put letters next to each other.
'ray' becomes 'skate' (skate is a kind of ray).
'cheap'+'skate'='CHEAPSKATE'
'family is after going for a song from' is the link.
This may not be correct. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for cheapskate that I've seen before include "Miserly type" , "Tightwad" , "One's tight" , "Mean person" , "Ungenerous type" .)